diff --git a/Tetrahedral_remeshing/include/CGAL/tetrahedral_remeshing.h b/Tetrahedral_remeshing/include/CGAL/tetrahedral_remeshing.h
index edd23bc2967..5c7e21111e2 100644
--- a/Tetrahedral_remeshing/include/CGAL/tetrahedral_remeshing.h
+++ b/Tetrahedral_remeshing/include/CGAL/tetrahedral_remeshing.h
@@ -394,13 +394,13 @@ void tetrahedral_isotropic_remeshing(
 
   typedef typename Tr::Cell_handle Cell_handle;
   typedef typename internal_np::Lookup_named_param_def <
-  internal_np::cell_selector_t,
+              internal_np::cell_selector_t,
               NamedParameters,
-              Constant_property_map<Cell_handle, bool>//default
+              Tetrahedral_remeshing::internal::All_cells_selected<Tr>//default
               > ::type SelectionFunctor;
   SelectionFunctor cell_select
     = choose_parameter(get_parameter(np, internal_np::cell_selector),
-                       Constant_property_map<Cell_handle, bool>(true));
+                       Tetrahedral_remeshing::internal::All_cells_selected<Tr>());
 
   typedef std::pair<typename Tr::Vertex_handle, typename Tr::Vertex_handle> Edge_vv;
   typedef typename internal_np::Lookup_named_param_def <